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137139727700 = 225211811161217
BaseRepresentation
bin111111110111000101…
…0100010110101010100
3111002222111120222210002
41333232022202311110
54221330232241300
6143000124150432
712623310311003
oct1775612426524
9432874528702
10137139727700
115318488a238
12226b3998418
13cc17120b91
1468cd7d8c3a
153879a7d5d5
hex1fee2a2d54

137139727700 has 36 divisors (see below), whose sum is σ = 297845449692. Its totient is φ = 54809395200.

The previous prime is 137139727679. The next prime is 137139727723. The reversal of 137139727700 is 7727931731.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1749581584 + 135390146116 = 41828^2 + 367954^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462509 + ... + 698708.

Almost surely, 2137139727700 is an apocalyptic number.

137139727700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137139727700 is an abundant number, since it is smaller than the sum of its proper divisors (160705721992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137139727700 is a wasteful number, since it uses less digits than its factorization.

137139727700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162412 (or 1162405 counting only the distinct ones).

The product of its (nonzero) digits is 388962, while the sum is 47.

The spelling of 137139727700 in words is "one hundred thirty-seven billion, one hundred thirty-nine million, seven hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1181 2362 4724 5905 11810 23620 29525 59050 118100 1161217 2322434 4644868 5806085 11612170 23224340 29030425 58060850 116121700 1371397277 2742794554 5485589108 6856986385 13713972770 27427945540 34284931925 68569863850 137139727700